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130561099780 = 22531475478191
BaseRepresentation
bin111100110011000001…
…1000100100000000100
3110111000000202001211011
41321212003010200010
54114342120143110
6135551241252004
712301266015526
oct1714603044004
9414000661734
10130561099780
1150409378761
1221378794004
13c409200337
146467c07a16
1535e224a48a
hex1e660c4804

130561099780 has 96 divisors (see below), whose sum is σ = 289608302592. Its totient is φ = 49368009600.

The previous prime is 130561099769. The next prime is 130561099787. The reversal of 130561099780 is 87990165031.

It is not an unprimeable number, because it can be changed into a prime (130561099787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15935485 + ... + 15943675.

It is an arithmetic number, because the mean of its divisors is an integer number (3016753152).

Almost surely, 2130561099780 is an apocalyptic number.

130561099780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130561099780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144804151296).

130561099780 is an abundant number, since it is smaller than the sum of its proper divisors (159047202812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130561099780 is a wasteful number, since it uses less digits than its factorization.

130561099780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8825 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 49.

The spelling of 130561099780 in words is "one hundred thirty billion, five hundred sixty-one million, ninety-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 547 620 940 1094 1457 2188 2735 2914 5470 5828 7285 8191 10940 14570 16382 16957 25709 29140 32764 33914 40955 51418 67828 81910 84785 102836 128545 163820 169570 253921 257090 339140 384977 507842 514180 769954 796979 1015684 1269605 1539908 1593958 1924885 2539210 3187916 3849770 3984895 4480477 5078420 7699540 7969790 8960954 11934287 15939580 17921908 22402385 23868574 44804770 47737148 59671435 89609540 119342870 138894787 210582419 238685740 277789574 421164838 555579148 694473935 842329676 1052912095 1388947870 2105824190 2777895740 4211648380 6528054989 13056109978 26112219956 32640274945 65280549890 130561099780